5.1 – 5.3 Review

Question and Answer Samples and Techniques

Simplify the expression:(x4y-2)(x-3y8)

xy5

Simplify the expression:

b15/a5

Simplify the expression: x3y7

x-4y0

x7y7

Simplify the expression:

2x3

3y5

6

9

2

3

2 3

2

x

y

y x

x

Use synthetic substitution to evaluate the polynomial:f(x) = 5x3 + 3x2 –x + 7; x = 2

57

Use Synthetic Substitution to evaluate the polynomial function: g(x) = -2x4 – x3 + 4x – 5; x = -1

-10

Perform the indicated operation:(x3 + x2 – 6) – (2x2 + 4x – 8)

X3 – x2 – 4x + 2

Decide whether the function is a polynomial function. If it is, state the degree and leading coefficientx3 + x2 – 6x-1

Not a polynomial function

Decide whether the function is a polynomial function. If it is, state the degree and leading coefficient-2x5 + x4 – 1/3x

YesDegree: 5th degree

Leading coefficient: -2

Perform the indicated operation:(-3x2 + 4x – 10) + (x2 – 9x + 15)

-2x2 – 5x + 5

Perform the indicated operation:(x - 5)(x2 – 5x + 7)

x3 – 10x2 + 32x - 35

Perform the indicated operation:(x + 3)(x – 6)(3x - 1)

x3 – 10x2 + 32x - 35

Describe the end behavior of the graph of the polynomial function by completing the statements: f(x) = x4 – 18x2 + 21 f(x) ____ as x -∞ and f(x) _____ as x +∞

+∞ +∞

Describe the end behavior of the graph of the polynomial function by completing the statements: f(x) = -x3 – 22x2 + 3 f(x) ____ as x -∞ and f(x) _____ as x +∞

+∞ -∞

Practice Factoring: x2 + 2x - 15

(x + 5)(x – 3)

Graph using a table: f(x) = x3 –x2 + 3

Graph using a table: f(x) = -x4 + 5

Practice Factoring: x2 + 8x + 12

(x + 2)(x + 6)

Factor: y3 – 4y2 – 12y

y(y – 6)(y + 2)

Factor: 2y5 – 18y3

2y3(y - 3)(y + 3)

Factor: 3x3 + 30x2 + 75x

3x(x + 5)2

Factor: 4x4 – 16x3 + 16x2

4x2(x – 2)2

Factor: 5g5 - 80g3

5g3(g – 4)(g + 4)

Assignment

P 1014 4-7,12-15

Come get help if you do not understand.

We will have a quiz tomorrow 5.1 – 5.3 information only